Solve 3/2div1/4div2/5=

$$\frac { 3 } { 2 } \div \frac { 1 } { 4 } \div \frac { 2 } { 5 } =$$

Evaluate

$$15$$

Solution Steps

Divide \frac{\frac{3}{2}}{\frac{1}{4}} by \frac{2}{5} by multiplying \frac{\frac{3}{2}}{\frac{1}{4}} by the reciprocal of \frac{2}{5}.

$$\frac{\frac{3}{2}\times 5}{\frac{1}{4}\times 2}$$

Express \frac{3}{2}\times 5 as a single fraction.

$$\frac{\frac{3\times 5}{2}}{\frac{1}{4}\times 2}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{15}{2}}{\frac{1}{4}\times 2}$$

Multiply \frac{1}{4} and 2 to get \frac{2}{4}.

$$\frac{\frac{15}{2}}{\frac{2}{4}}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{15}{2}}{\frac{1}{2}}$$

Divide \frac{15}{2} by \frac{1}{2} by multiplying \frac{15}{2} by the reciprocal of \frac{1}{2}.

$$\frac{15}{2}\times 2$$

Cancel out 2 and 2.

$$15$$

Factor

$$3\times 5$$